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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 8 and fixed z and a<0 > For fixed z and a=-39/8, b>=a > For fixed z and a=-39/8, b=5





http://functions.wolfram.com/07.23.03.bap5.01









  


  








Input Form





Hypergeometric2F1[-(39/8), 5, -(23/8), -z] == (1/2097152) (403 ((64 (11531 + 21798 z + 10395 z^2))/(1 + z)^3 - 6351345 (-(8/31) + (8 z)/23 - (8 z^2)/15 + (8 z^3)/7 + (-1)^(1/8) z^(31/8) ((-1)^(3/4) Log[1 - (-1)^(1/8) z^(1/8)] - (-1)^(3/4) Log[1 + (-1)^(1/8) z^(1/8)] + I Log[1 - (-1)^(3/8) z^(1/8)] - I Log[1 + (-1)^(3/8) z^(1/8)] + (-1)^(1/4) Log[1 - (-1)^(5/8) z^(1/8)] - (-1)^(1/4) Log[1 + (-1)^(5/8) z^(1/8)] + Log[1 - (-1)^(7/8) z^(1/8)] - Log[1 + (-1)^(7/8) z^(1/8)])) + 11562705 (-(8/39) + (8 z)/31 - (8 z^2)/23 + (8 z^3)/15 - (8 z^4)/7 + (-1)^(1/8) z^(39/8) ((-(-1)^(3/4)) Log[1 - (-1)^(1/8) z^(1/8)] + (-1)^(3/4) Log[1 + (-1)^(1/8) z^(1/8)] - I Log[1 - (-1)^(3/8) z^(1/8)] + I Log[1 + (-1)^(3/8) z^(1/8)] - (-1)^(1/4) Log[1 - (-1)^(5/8) z^(1/8)] + (-1)^(1/4) Log[1 + (-1)^(5/8) z^(1/8)] - Log[1 - (-1)^(7/8) z^(1/8)] + Log[1 + (-1)^(7/8) z^(1/8)]))))








Standard Form





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MathML Form







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Date Added to functions.wolfram.com (modification date)





2007-05-02